A184980 - OEIS

A184980

Irregular triangle C(n,g) counting the connected 8-regular simple graphs on n vertices with girth exactly g.

1, 1, 6, 94, 10786, 3459386, 1470293676, 733351105934, 1

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OFFSET

9,3

COMMENTS

The first column is for girth at least 3. The row length is incremented to g-2 when 2n reaches A054760(8,g).

LINKS

Table of n, a(n) for n=9..17.

Jason Kimberley, Index of sequences counting connected k-regular simple graphs with girth exactly g

EXAMPLE

94;

10786;

3459386;

1470293676;

733351105934, 1;

?, 0;

?, 1;

?, 0;

?, 13;

?, 1;

CROSSREFS

Connected 8-regular simple graphs with girth at least g: A184981 (triangle); chosen g: A014378 (g=3), A181154 (g=4).

Connected 8-regular simple graphs with girth exactly g: this sequence (triangle); chosen g: A184983 (g=3).

Triangular arrays C(n,g) counting connected simple k-regular graphs on n vertices with girth exactly g: A198303 (k=3), A184940 (k=4), A184950 (k=5), A184960 (k=6), A184970 (k=7), this sequence (k=8).

Sequence in context: A198257 A296820 A184983 * A184981 A014378 A180260

Adjacent sequences: A184977 A184978 A184979 * A184981 A184982 A184983

KEYWORD

nonn,hard,more,tabf

AUTHOR

Jason Kimberley, Jan 19 2012

STATUS

approved